Geodesic
Asymptotics of the solution of the Dirichlet problem for the Laplace and Helmholtz equations in the exterior of a~slender cylinder
Izvestiya. Mathematics , Tome 18 (1982) no. 1, pp. 145-161.

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The Dirichlet problem is investigated for the Laplace and Helmholtz equations in the exterior of a surface in $\mathbf R^3$ which is a right circular cylinder outside a sphere. Asymptotic expansions of the solutions are constructed; the small parameter is the maximal diameter of the cross-section of the cylinder. Bibliography: 8 titles. 
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M. V. Fedoryuk. Asymptotics of the solution of the Dirichlet problem for the Laplace and Helmholtz equations in the exterior of a~slender cylinder. Izvestiya. Mathematics , Tome 18 (1982) no. 1, pp. 145-161. http://geodesic.mathdoc.fr/item/IM2_1982_18_1_a7/

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